Abstract
The paper proposes an original method of calculating the charge distribution on the surface of the conductive plate introduced into the external electrostatic field. The authors managed to obtain the polynomials which allow to solve the integral equation that establishes the relationship between charge distribution of the conductive plate and the potential distribution of the external field and the potential on the surface of the plate. The proposed algorithms solutions are valid in the presence of axial symmetry of the field and the plate. Examples of calculation of conductor charge distribution in the presence of external field by using a polynomial expansion have been presented. The comparisons of results calculated by the polynomial method and by known analytical solutions have been given
Highlights
When a conductive plate is placed into the external electrostatic field, the electric charges commence its induction on the plate surface
With certain charge distribution σ(r) on the conductive plate surface we can determine an algebraic sum of potential distribution of the external field U 0 (r0 ) and plate surface potential U0
In natural experiments we usually know the distribution of the external field potential, the potential of the conductor surface can be measured or kept in direct-current voltage
Summary
Series: Materials Science and Engineering 124 (2016) 012062 doi:10.1088/1757-899X/124/1/012062. Yu N I saev, V А Kolchanova, S S Tarasenko and O V Tikhomirova2 1Tomsk Polytechnic University, 30, Lenina ave., Tomsk, 634050, Russia 2V E Zuev Institute of Atmospheric Optics SB RAS, 1, Academician Zuev square, Tomsk, 634055, Russia
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